Any Polygon
Any Polygon
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Any Polygon |
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Folding sheets Any Polygon Welcome page Back to the list |
Aveuglami project - folding sheet
Any Polygon
| Author | Lucas Michel |
| Category | orimaths |
| Difficulty | ** |
| Format | any |
| Base | - |
| Text | The only characteristic used here to define a Any Polygon is its number of sides. Some variations are suggested within the text. Creating a Polygon requires a bit of know-how. In particular, the issue of excess paper is present at all times. The goal is to create a geometric figure with a smooth face, with all excess paper neatly hidden behind. The only characteristic used here to define a Any Polygon is its number of sides. Some variations are suggested within the text. Creating any Any Polygon requires a bit of know-how. In particular, the issue of excess paper is present at all times. The goal is to create a geometric figure with a smooth face, with all excess paper neatly hidden behind. Creating a Any Polygon without using the edges of the sheet The principle used consists of creating the Any Polygon by making a succession of folds characterized as follows: - one side will be represented by a straight line segment carried by a hinge fold, - one side will be delimited by a departure end and an arrival end, - a new side will have as its starting end a point located on the previous side, - the creation of the sides is done by always rotating in the same direction around the Any Polygon, - the last side will be carried by a fold having as its starting point a point located on the last side that has just been created and as an arrival point a point located on the first side that has been created. - to simplify manipulations, we only use valley folds to create the sides. 1. Create the support for the first side using a valley fold. Mark the fold well. The choice of the location of this first fold will be decisive for the rest of the operations. It is recommended to make a fold joining two adjacent sides, to have the largest possible surface area afterwards. 2. Choose a starting point on the fold you have just created. This starting point can be a starting point of the hinge fold, or a point on the hinge fold itself. It will determine the direction of travel of the Any Polygon. 3. Create the support for the new side using a valley fold passing through the starting point you have just chosen. Mark the fold well. There is no reference to determine the angle that this fold will form with the previous fold. We can decide to form an acute, obtuse or right angle. 4. If the previous side is hidden by an overflow of paper, make a mountain fold starting from the starting point just used and resting on the previous side. Mark well and tuck under the flap. 5. Start again from step 2 to step 4 until you have created the requested number of sides minus one. For example, if we want to create a triangle, we immediately go to step 6. 6. Choose a starting point on the last side that you have just created and an ending point on the first side created. 7. Create the last side of the Any Polygon using a valley fold passing through the two points you have just chosen. 8. Eliminate any excess paper using mountain folds resting on the contours of the Any Polygon. Enter the surplus under the different sections. 9. Flip the fold from right to left. |
| Contents | File |
| Any Polygon - PDF file | ML-Orimaths02Ang.pdf |